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Finding the Fourth Proportional to 74,039.40, 102,173.54 and 40,505

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Solution

The fourth proportional to 74,039.40, 102,173.54 and 40,505 is: 55,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,039.40 : 102,173.54 = 40,505 : x
  2. Step 2: Convert to fraction form
    74,039.40/102,173.54 = 40,505/x
  3. Step 3: Cross multiply
    74,039.40x = 102,173.54 × 40,505
  4. Step 4: Simplify right side
    74,039.40x = 4,138,539,237.70
  5. Step 5: Solve for x
    x = 4,138,539,237.70/74,039.40
  6. Step 6: Final answer
    x = 55,896.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.